Mathematical models of cognitive processes

The research activity carried out during the PhD course was focused on the development of mathematical models of some cognitive processes and their validation by means of data present in literature, with a double aim: i) to achieve a better interpretation and explanation of the great amount of data obtained on these processes from different methodologies (electrophysiological recordings on animals, neuropsychological, psychophysical and neuroimaging studies in humans), ii) to exploit model predictions and results to guide future research and experiments. In particular, the research activity has been focused on two different projects: 1) the first one concerns the development of neural oscillators networks, in order to investigate the mechanisms of synchronization of the neural oscillatory activity during cognitive processes, such as object recognition, memory, language, attention; 2) the second one concerns the mathematical modelling of multisensory integration processes (e.g. visual-acoustic), which occur in several cortical and subcortical regions (in particular in a subcortical structure named Superior Colliculus (SC)), and which are fundamental for orienting motor and attentive responses to external world stimuli. This activity has been realized in collaboration with the Center for Studies and Researches in Cognitive Neuroscience of the University of Bologna (in Cesena) and the Department of Neurobiology and Anatomy of the Wake Forest University School of Medicine (NC, USA). PART 1. Objects representation in a number of cognitive functions, like perception and recognition, foresees distribute processes in different cortical areas. One of the main neurophysiological question concerns how the correlation between these disparate areas is realized, in order to succeed in grouping together the characteristics of the same object (binding problem) and in maintaining segregated the properties belonging to different objects simultaneously present (segmentation problem). Different theories have been proposed to address these questions (Barlow, 1972). One of the most influential theory is the so called “assembly coding”, postulated by Singer (2003), according to which 1) an object is well described by a few fundamental properties, processing in different and distributed cortical areas; 2) the recognition of the object would be realized by means of the simultaneously activation of the cortical areas representing its different features; 3) groups of properties belonging to different objects would be kept separated in the time domain. In Chapter 1.1 and in Chapter 1.2 we present two neural network models for object recognition, based on the “assembly coding” hypothesis. These models are networks of Wilson-Cowan oscillators which exploit: i) two high-level “Gestalt Rules” (the similarity and previous knowledge rules), to realize the functional link between elements of different cortical areas representing properties of the same object (binding problem); 2) the synchronization of the neural oscillatory activity in the γ-band (30-100Hz), to segregate in time the representations of different objects simultaneously present (segmentation problem). These models are able to recognize and reconstruct multiple simultaneous external objects, even in difficult case (some wrong or lacking features, shared features, superimposed noise). In Chapter 1.3 the previous models are extended to realize a semantic memory, in which sensory-motor representations of objects are linked with words. To this aim, the network, previously developed, devoted to the representation of objects as a collection of sensory-motor features, is reciprocally linked with a second network devoted to the representation of words (lexical network) Synapses linking the two networks are trained via a time-dependent Hebbian rule, during a training period in which individual objects are presented together with the corresponding words. Simulation results demonstrate that, during the retrieval phase, the network can deal with the simultaneous presence of objects (from sensory-motor inputs) and words (from linguistic inputs), can correctly associate objects with words and segment objects even in the presence of incomplete information. Moreover, the network can realize some semantic links among words representing objects with some shared features. These results support the idea that semantic memory can be described as an integrated process, whose content is retrieved by the co-activation of different multimodal regions. In perspective, extended versions of this model may be used to test conceptual theories, and to provide a quantitative assessment of existing data (for instance concerning patients with neural deficits). PART 2. The ability of the brain to integrate information from different sensory channels is fundamental to perception of the external world (Stein et al, 1993). It is well documented that a number of extraprimary areas have neurons capable of such a task; one of the best known of these is the superior colliculus (SC). This midbrain structure receives auditory, visual and somatosensory inputs from different subcortical and cortical areas, and is involved in the control of orientation to external events (Wallace et al, 1993). SC neurons respond to each of these sensory inputs separately, but is also capable of integrating them (Stein et al, 1993) so that the response to the combined multisensory stimuli is greater than that to the individual component stimuli (enhancement). This enhancement is proportionately greater if the modality-specific paired stimuli are weaker (the principle of inverse effectiveness). Several studies have shown that the capability of SC neurons to engage in multisensory integration requires inputs from cortex; primarily the anterior ectosylvian sulcus (AES), but also the rostral lateral suprasylvian sulcus (rLS). If these cortical inputs are deactivated the response of SC neurons to cross-modal stimulation is no different from that evoked by the most effective of its individual component stimuli (Jiang et al 2001). This phenomenon can be better understood through mathematical models. The use of mathematical models and neural networks can place the mass of data that has been accumulated about this phenomenon and its underlying circuitry into a coherent theoretical structure. In Chapter 2.1 a simple neural network model of this structure is presented; this model is able to reproduce a large number of SC behaviours like multisensory enhancement, multisensory and unisensory depression, inverse effectiveness. In Chapter 2.2 this model was improved by incorporating more neurophysiological knowledge about the neural circuitry underlying SC multisensory integration, in order to suggest possible physiological mechanisms through which it is effected. This endeavour was realized in collaboration with Professor B.E. Stein and Doctor B. Rowland during the 6 months-period spent at the Department of Neurobiology and Anatomy of the Wake Forest University School of Medicine (NC, USA), within the Marco Polo Project. The model includes four distinct unisensory areas that are devoted to a topological representation of external stimuli. Two of them represent subregions of the AES (i.e., FAES, an auditory area, and AEV, a visual area) and send descending inputs to the ipsilateral SC; the other two represent subcortical areas (one auditory and one visual) projecting ascending inputs to the same SC. Different competitive mechanisms, realized by means of population of interneurons, are used in the model to reproduce the different behaviour of SC neurons in conditions of cortical activation and deactivation. The model, with a single set of parameters, is able to mimic the behaviour of SC multisensory neurons in response to very different stimulus conditions (multisensory enhancement, inverse effectiveness, within- and cross-modal suppression of spatially disparate stimuli), with cortex functional and cortex deactivated, and with a particular type of membrane receptors (NMDA receptors) active or inhibited. All these results agree with the data reported in Jiang et al. (2001) and in Binns and Salt (1996). The model suggests that non-linearities in neural responses and synaptic (excitatory and inhibitory) connections can explain the fundamental aspects of multisensory integration, and provides a biologically plausible hypothesis about the underlying circuitry.

Accesorios de indumentaria del regnum visigodo temprano (siglos V-VI)

Los accesorios metálicos de indumentaria constituyen uno de las fuentes materiales principales para aproximarse a la realidad social, cultural y económica de la población del Mediterráneo tardoantiguo. En el caso de los hallazgos de los siglos V y VI procedentes de la Península Ibérica y del suroeste de Francia, numerosos problemas de documentación han impedido extraer y desarrollar todo su potencial, tanto en lo referente al encuadre tipológico y cronológico de estos objetos como en la consiguiente fase interpretativa. Se hacía necesario acometer un nuevo estudio monográfico que actualizara el panorama de la investigación. El trabajo cataloga, data y clasifica tipológicamente más de cuatro millares de fíbulas y accesorios de cinturón recuperados en casi medio millar de yacimientos localizados en los actuales Portugal, España, Andorra y Francia. El resultado permite aproximarse a las áreas de producción y modalidades de circulación y utilización de cada uno de los tipos individualizados. Una veintena de indumentarias distintas, definidas por combinaciones de distintos tipos de accesorios en contextos funerarios, ha sido identificada. Parte de éstas constituye la base principal de un sistema cronológico organizado en seis fases distintas que cubren una cronología situada aproximadamente entre las últimas décadas del siglo IV y las últimas décadas del siglo VI. La investigación acomete asimismo el análisis de la implantación de los accesorios y de las indumentarias relacionadas con ellos en el paisaje tardoantiguo de Hispania y la Galia. El resultado permite reconstruir secuencias regionales de evolución indumentaria y establecer relaciones entre diversas tipologías de contextos funerarios y habitativos y los tipos de indumentaria previamente definidos. Los resultados permiten renovar la mirada sobre este tipo de objetos y el lugar que ocuparon en la vida cotidiana de muchos de los habitantes del regnum visigodo temprano.

Capacita' e formazione nel liberalismo di Amartya Sen e Martha Nussbaum. Eredita' differenti del pensiero politico per una "cittadinanza del mondo"

Il presente lavoro di ricerca si propone di discutere il contributo che l’analisi dell’evoluzione storica del pensiero politico occidentale e non occidentale riveste nel percorso intellettuale compiuto dai fondatori della teoria contemporanea dell’approccio delle capacità, fondata e sistematizzata nei suoi contorni speculativi a partire dagli anni Ottanta dal lavoro congiunto dell’economista indiano Amartya Sen e della filosofa dell’Università di Chicago Martha Nussbaum. Ci si ripropone di dare conto del radicamento filosofico-politico del lavoro intellettuale di Amartya Sen, le cui concezioni economico-politiche non hanno mai rinunciato ad una profonda sensibilità di carattere etico, così come dei principali filoni intorno ai quali si è imbastita la versione nussbaumiana dell’approccio delle capacità a partire dalla sua ascendenza filosofica classica in cui assume una particolare primazia il sistema etico-politico di Aristotele. Il pensiero politico moderno, osservato sotto il prisma della riflessione sulla filosofia della formazione che per Sen e Nussbaum rappresenta la “chiave di volta” per la fioritura delle altre capacità individuali, si organizzerà intorno a tre principali indirizzi teorici: l’emergenza dei diritti positivi e sociali, il dibattito sulla natura della consociazione nell’ambito della dottrina contrattualista e la stessa discussione sui caratteri delle politiche formative. La sensibilità che Sen e Nussbaum mostrano nei confronti dell’evoluzione del pensiero razionalista nel subcontinente che passa attraverso teorici antichi (Kautylia e Ashoka) e moderni (Gandhi e Tagore) segna il tentativo operato dai teorici dell’approccio delle capacità di contrastare concezioni politiche contemporanee fondate sul culturalismo e l’essenzialismo nell’interpretare lo sviluppo delle tradizioni culturali umane (tra esse il multiculturalismo, il comunitarismo, il neorealismo politico e la teoria dei c.d. “valori asiatici”) attraverso la presa di coscienza di un corredo valoriale incentrato intorno al ragionamento rintracciabile (ancorché in maniera sporadica e “parallela”) altresì nelle tradizioni culturali e politiche non occidentali.